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Finding the Fourth Proportional to 223,858.78, 308,932.69 and 121,888.19

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Solution

The fourth proportional to 223,858.78, 308,932.69 and 121,888.19 is: 168,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,858.78 : 308,932.69 = 121,888.19 : x
  2. Step 2: Convert to fraction form
    223,858.78/308,932.69 = 121,888.19/x
  3. Step 3: Cross multiply
    223,858.78x = 308,932.69 × 121,888.19
  4. Step 4: Simplify right side
    223,858.78x = 37,655,246,812.12
  5. Step 5: Solve for x
    x = 37,655,246,812.12/223,858.78
  6. Step 6: Final answer
    x = 168,209.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.